it could definately be the stator. The stator feeds the regulator an ac voltage. The regulator the converts that voltage to a DC voltage which the rest of the sled uses. If either of the components fail you will be getting strange issues.
In your case I would be leaning towards the stator as the regulator is electronis and would likely fail completely if gone bad. At first my sled would work spiratically as yours does. It sounds like similar issues, but like I say, the only way to know is to replace either of the parts and see if the problem is solved. Before that though check all visible wires damage, unplug anything you can, lights, guages, etc. To see if something is shorting causing your problems.
Good luck. Electrical problems are a nightmare, but with some tedious, and possibly expensive trouble shooting you'll be ripping in no time